Least Common Multiple of 757/31, 2259/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 757/31, 2259/267 quickly i.e. 1710063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 757/31, 2259/267 is 1710063.

LCM(757/31, 2259/267) = 1710063

LCM of 757/31, 2259/267

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 757/31,2259/267

Given numbers are 757/31,2259/267

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 757,2259

Least Common Multiple of Numerators i.e. LCM of 757,2259 is 1710063.

GCF of Denominators means GCF of 31,267 as per the given fractions.

GCF of 31,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 757,2259

LCM of Fractions 757/31,2259/267 is 1710063

Given numbers has no common factors except 1. So, there LCM is their product i.e 1710063

Least Common Multiple of 757,2259 with GCF Formula

Least Common Multiple of 757,2259 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 757,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,2259) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(757,2259) x common factors =1 x 1 = 1

LCM(757,2259) = ( 757 × 2259 ) / 1

LCM(757,2259) = 1710063 / 1

LCM(757,2259) = 1710063


Lets's calculate GCF of 31,267

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1710063/1

Therefore the LCM of Fractions 757/31,2259/267 is 1710063

Greatest Common Factor of 31,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,267 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 31,267 . The biggest common factor number is the GCF number.
So the greatest common factor 31,267 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 757/31, 2259/267

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 757/31, 2259/267?

Answer: LCM of Numerators as per given numbers 757/31, 2259/267 is

LCM of Numerators i.e. for 757,2259 is 1710063

GCF of denominators i.e. for 31,267 is 1.

Thus, LCM of Fractions is 1710063.Finally, LCM of Fractions for 757/31, 2259/267 is 1710063.